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Finding the Fourth Proportional to 8,040.91, 12,065.49 and 3,828.93

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Solution

The fourth proportional to 8,040.91, 12,065.49 and 3,828.93 is: 5,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,040.91 : 12,065.49 = 3,828.93 : x
  2. Step 2: Convert to fraction form
    8,040.91/12,065.49 = 3,828.93/x
  3. Step 3: Cross multiply
    8,040.91x = 12,065.49 × 3,828.93
  4. Step 4: Simplify right side
    8,040.91x = 46,197,897.48
  5. Step 5: Solve for x
    x = 46,197,897.48/8,040.91
  6. Step 6: Final answer
    x = 5,745.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.